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Finding the Third Proportional to 60.47 and 127.59

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Solution

The third proportional to 60.47 and 127.59 is: 269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.47 : 127.59 = 127.59 : x
  2. Step 2: Convert to fraction form
    60.47/127.59 = 127.59/x
  3. Step 3: Cross multiply
    60.47x = 127.59 × 127.59
  4. Step 4: Simplify right side
    60.47x = 16,280.17
  5. Step 5: Solve for x
    x = 16,280.17/60.47
  6. Step 6: Final answer
    x = 269.23

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.